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Question

A capillary tube is fitted horizontally near the bottom to the wall of a vessel. If the experiment is conducted with water and a liquid by taking them upto the same level ratio of the rates of flow of water and the liquid is ( eta of liquid =0.002 Pas, its density =800 Kg m-3 eta of water =0.001 Pas, its density = 1000 Kg m-3)

  1. 5: 2
  2. 2: 5
  3. 25: 4
  4. 4: 25

The correct answer is: 5: 2


    text  From Poiseuille's equation,  end text V equals fraction numerator pi P r to the power of 4 over denominator 8 eta l end fraction
text  Here  end text V proportional to P over eta
text  Where  end text P equals rho g h
text  Here  end text stack h with _ below with _ below text  is same so  end text V proportional to rho over eta
text  Here  end text V subscript 1 over V subscript 2 equals rho subscript 1 over rho subscript 2 cross times eta subscript 2 over eta subscript 1 equals 1000 over 800 cross times fraction numerator 0 minus 002 over denominator 0.001 end fraction equals 5 over 2

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